- 2024 - 2030 非正曲率空間上の次世代凸最適化
- 2021 - 2023 工学システム解析に現れるシンボリック行列に対する離散構造論の展開
- 2018 - 2022 Combinatorial analysis of the solution spaces of systems of polynomial equations
- 2015 - 2019 Graph realization problem and graph rigidity
- 2013 - 2019 Developments of discrete optimization theory and efficient algorithms based on submodular structures
- 2015 - 2018 Study on Combinatorial Characteristics of Super-stability of Tensegrity Structures
- 2013 - 2017 Establishing the foundation of discrete mathematics in the field of architecture and urban planning and its application to large-scale optimization
- 2012 - 2016 Combinatorial Rigidity Theory for Symmetric Molecular Structures
- 2011 - 2016 Approximation Algorithms for Submodular Optimization
- 2009 - 2012 Computational Geometry and Discrete Optimization in Architecture and Urban Planning
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